GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 23 Feb 2019, 15:28

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

## Events & Promotions

###### Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### FREE Quant Workshop by e-GMAT!

February 24, 2019

February 24, 2019

07:00 AM PST

09:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.
• ### Free GMAT RC Webinar

February 23, 2019

February 23, 2019

07:00 AM PST

09:00 AM PST

Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT

# AD is the longest side of the right triangle ABD shown in the figure.

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 53066
AD is the longest side of the right triangle ABD shown in the figure.  [#permalink]

### Show Tags

09 Oct 2018, 20:39
00:00

Difficulty:

15% (low)

Question Stats:

82% (01:27) correct 18% (01:57) wrong based on 26 sessions

### HideShow timer Statistics

AD is the longest side of the right triangle ABD shown in the figure. What is the length of longest side of ∆ABC ?

(A) 2
(B) 3
(C) √41
(D) 9
(E) 41

Attachment:

triangle.jpg [ 29.12 KiB | Viewed 384 times ]

_________________
CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2799
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
AD is the longest side of the right triangle ABD shown in the figure.  [#permalink]

### Show Tags

10 Oct 2018, 01:28
Bunuel wrote:

AD is the longest side of the right triangle ABD shown in the figure. What is the length of longest side of ∆ABC ?

(A) 2
(B) 3
(C) √41
(D) 9
(E) 41

Attachment:
triangle.jpg

For Ad to be the longest side of right triangle, angle B must be 90º because the side opposite to the biggest angle is biggest

i.e. Ac = Hypotenuse of triangle ABC $$= √(4^2+5^2) = √41$$

_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Math Expert
Joined: 02 Aug 2009
Posts: 7335
Re: AD is the longest side of the right triangle ABD shown in the figure.  [#permalink]

### Show Tags

10 Oct 2018, 01:42
Bunuel wrote:

AD is the longest side of the right triangle ABD shown in the figure. What is the length of longest side of ∆ABC ?

(A) 2
(B) 3
(C) √41
(D) 9
(E) 41

Attachment:
triangle.jpg

1. Two ways...
A) geometry..
ABD is a right angled triangle and AD is biggest side so, angle ABD is 90...
∆ABC is also a right angled triangle, so $$AC^2=AB^2+BC^2=4^2+5^2+16+25=41.....AC=√41$$

B) choices ..
Even if ABC was not a right angled triangle, only one choice would have fit in..
Since AC is the longest side and other two are 4 and 5 , $$AC\geq{5}$$
Also AC<AB+BC.....AC<4+5.....AC<9
Only √41 fits in
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

GMAT Expert

Re: AD is the longest side of the right triangle ABD shown in the figure.   [#permalink] 10 Oct 2018, 01:42
Display posts from previous: Sort by